150597 ÷ 11 
Let's see how many times 11 fits into 150597.

Going ahead to step 1:
11 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Append the next digit (5) from the dividend to 1 and continue with: 15 / 11

Let's proceed to step 2:
The number 11 fits into 15 1 times, leaving a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 11 from 15 to get 4.
Include the next digit (0) from the dividend after 4, then repeat: 40 / 11

Let's proceed to step 3:
11 can be fit into 40 3 times, resulting in a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 13.0
Subtracting 33 from 40 leaves us with 7.
Fetch the next digit (5) from the dividend, attach it to 7 and continue: 75 / 11

Step 4:
11 goes into 75 6 times with a remainder of 9.
Write down 6 as next digit of the result. 
Result so far: 136.0
Deduct 66 from 75 and we're left with 9.
Bring next digit (9) of the dividend behind the 9 and repeat the process: 99 / 11

Going ahead to step 5:
If we divide 99 by 11, we get 9 and a remainder of 0.
Put 9 as the next digit of the answer. 
Result so far: 1369.0
Subtract 99 from 99 to get 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 11

Moving on to step 6:
When dividing 7 by 11, we get 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 13690.0
If we take 0 away from 7, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 7:
11 can be fit into 70 6 times, resulting in a remainder of 4.
The next digit of our result is 6. 
Result so far: 13690.6
If we take 66 away from 70, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 8:
When dividing 40 by 11, we get 3 with a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 13690.63
If we take 33 away from 40, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 9:
11 can be fit into 70 6 times, resulting in a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 13690.636
Deduct 66 from 70 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 10:
11 can be fit into 40 3 times, resulting in a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 13690.6363
If we subtract 33 from 40, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 11:
The number 11 fits into 70 6 times, leaving a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 13690.63636
If we take 66 away from 70, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 12:
11 goes into 40 3 times with a remainder of 7.
The next digit of our result is 3. 
Result so far: 13690.636363
The remainder is 7 after subtracting 33 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 13:
11 goes into 70 6 times with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 13690.6363636
Subtract 66 from 70 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 14:
11 can be fit into 40 3 times, resulting in a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 13690.63636363
The remainder is 7 after subtracting 33 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The final outcome is 13690.63636363, with a leftover of 7e-09.